Least Common Multiple of 1364 and 1370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1364 and 1370 the smallest integer that is 934340 that is divisible by both numbers.

Least Common Multiple (LCM) of 1364 and 1370 is 934340.

LCM(1364,1370) = 934340

LCM of 1364 and 1370

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 1364 and 1370

LCM of 1364 and 1370 is 934340

Least common multiple can be found by multiplying the highest exponent prime factors of 1364 and 1370. First we will calculate the prime factors of 1364 and 1370.

Prime Factorization of 1364


2 1364
2 682
11 341
31 31
1

Prime factors of 1364 are 2, 11,31. Prime factorization of 1364 in exponential form is:

1364 = 22×111×311

Prime Factorization of 1370


2 1370
5 685
137 137
1

Prime factors of 1370 are 2, 5,137. Prime factorization of 1370 in exponential form is:

1370 = 21×51×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 1364 and 1370.

LCM(1364,1370) = 22×51×111×311×1371
LCM(1364,1370) = 934340

Factors of 1364

List of positive integer factors of 1364 that divides 1364 without a remainder.

1, 2, 4, 11, 22, 31, 44, 62, 124, 341, 682, 1364

Factors of 1370

List of positive integer factors of 1370 that divides 1370 without a remainder.

1, 2, 5, 10, 137, 274, 685, 1370

Least Common Multiple of 1364 and 1370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1364 and 1370, than apply into the LCM equation.

GCF(1364,1370) = 2
LCM(1364,1370) = ( 1364 × 1370) / 2
LCM(1364,1370) = 1868680 / 2
LCM(1364,1370) = 934340

Properties of LCM 1364 and 1370

(i) The LCM of 1370 and 1364 is associative

LCM of 1364 and 1370 = LCM of 1370 and 1364

Related Least Common Multiples of 1364

Related Least Common Multiples of 1370

Frequently Asked Questions on LCM of 1364 and 1370

1. What is the LCM of 1364 and 1370?

Answer: LCM of 1364 and 1370 is 934340.

2. What are the Factors of 1364?

Answer: Factors of 1364 are 1, 2, 4, 11, 22, 31, 44, 62, 124, 341, 682, 1364. There are 12 integers that are factors of 1364. The greatest factor of 1364 is 1364.

3. What are the Factors of 1370?

Answer: Factors of 1370 are 1, 2, 5, 10, 137, 274, 685, 1370. There are 8 integers that are factors of 1370. The greatest factor of 1370 is 1370.

4. How to Find the LCM of 1364 and 1370?

Answer:

Least Common Multiple of 1364 and 1370 = 934340

Step 1: Find the prime factorization of 1364

1364 = 2 x 2 x 11 x 31

Step 2: Find the prime factorization of 1370

1370 = 2 x 5 x 137

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 934340 = 2 x 2 x 5 x 11 x 31 x 137

Step 4: Therefore, the least common multiple of 1364 and 1370 is 934340.